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Finding the Fourth Proportional to 70,414.23, 105,638.66 and 20,494.77

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Solution

The fourth proportional to 70,414.23, 105,638.66 and 20,494.77 is: 30,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.23 : 105,638.66 = 20,494.77 : x
  2. Step 2: Convert to fraction form
    70,414.23/105,638.66 = 20,494.77/x
  3. Step 3: Cross multiply
    70,414.23x = 105,638.66 × 20,494.77
  4. Step 4: Simplify right side
    70,414.23x = 2,165,039,937.33
  5. Step 5: Solve for x
    x = 2,165,039,937.33/70,414.23
  6. Step 6: Final answer
    x = 30,747.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.